A math class of 32 students had the following scores on their most recent final

Question

A math class of 32 students had the following scores on their most recent final exam. The maximum possible score for the exam was 124 points. Assume that you are the instructor of the class. Use one decimal place for your numerical answers if necessary 45 62 73 73 75 78 82 82 87 87 87 88 88 88 89 89 89 89 93 94 95 95 96 97 97 97 98 107 112 114 114 114 Determine the proportion of students who got 98 or fewer points on the exam. Compute the lower limit. Compute the upper limit. List potential outliers (if any).

Explanation / Answer

Mean(µ) = 89.81

SD() = 14.52

g) Number of students with 98 or fewer points = 27

Proportion = 27 / 32 = 0.84

h) Let us assume th significance level is 95%

z/2 = 1.96 {Standard normal distribution table}

E = z/2* / n

= 1.96*14.52 / 32 = 5.03

Lower limit = µ - E = 84.78

i) Similar to previous part, Upper limit = µ + E = 94.84

j) Potential outliers are = 45,52,73,73,75,78,82,82,95,95,96,97,97,97,98,107,112,114,114,114

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